A and B are two magnitudes
where A is larger than B. How much larger? |
We set B alongside A and count off the number of times we use B to match A (its quantuplicity). Here B is used twice. |
We state the comparison as a ratio. Here we show the comparison of the two magnitudes, then write the ratio with their names. |
This gives a ratio: |
This is a proportion. Notice that it has two ratios and four terms (the four shapes). We can write the proportion with letters: |
We can then count the quantuplicity of the squares and write the ratio that appears on both sides of the '=' sign in the proportion: |
We can write the ratios of the sides as a proportion and then write the proportion in terms of measures (numbers). |
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